Comparison of Three-Parameter Weibull Distribution Parameter Estimators with the Maximum Likelihood Method
Important distributions used to model and analyse data in various real-life sciences such as natural sciences, engineering, and medicine are the Weibull, Weibull exponential, and Weibull Rayleigh distribution. The main objective of this paper is to determine the best evaluators and compare them for...
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Sakarya University
2022-12-01
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| Series: | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/2513063 |
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| author | Sejhan Idrizi Mirlinda Shaqiri Lazim Kamberi Senad Orhani |
| author_facet | Sejhan Idrizi Mirlinda Shaqiri Lazim Kamberi Senad Orhani |
| author_sort | Sejhan Idrizi |
| collection | DOAJ |
| description | Important distributions used to model and analyse data in various real-life sciences such as natural sciences, engineering, and medicine are the Weibull, Weibull exponential, and Weibull Rayleigh distribution. The main objective of this paper is to determine the best evaluators and compare them for the distribution with three-parameters of Weibull, Weibull Rayleigh and Exponential Weibull. The methods under consideration for comparing the parameter estimators for these distributions is that of maximum likelihood using the statistical program R for the application of real data. Based on the results obtained from this study, the maximum likelihood approach used in estimating the parameters is the comparison between these distributions. |
| format | Article |
| id | doaj-art-fca6830b3b044c71a3cd8a158f922a59 |
| institution | DOAJ |
| issn | 2147-835X |
| language | English |
| publishDate | 2022-12-01 |
| publisher | Sakarya University |
| record_format | Article |
| series | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
| spelling | doaj-art-fca6830b3b044c71a3cd8a158f922a592025-08-20T02:40:21ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2022-12-012661084109210.16984/saufenbilder.113726228Comparison of Three-Parameter Weibull Distribution Parameter Estimators with the Maximum Likelihood MethodSejhan Idrizi0https://orcid.org/0000-0003-1287-6571Mirlinda Shaqiri1https://orcid.org/0000-0002-9330-8156Lazim Kamberi2https://orcid.org/0000-0001-6995-9189Senad Orhani3https://orcid.org/0000-0003-3965-0791University of TetovaUniversity of TetovaUniversity of TetovaUniversity of Prishtina "Hasan Prishtina"Important distributions used to model and analyse data in various real-life sciences such as natural sciences, engineering, and medicine are the Weibull, Weibull exponential, and Weibull Rayleigh distribution. The main objective of this paper is to determine the best evaluators and compare them for the distribution with three-parameters of Weibull, Weibull Rayleigh and Exponential Weibull. The methods under consideration for comparing the parameter estimators for these distributions is that of maximum likelihood using the statistical program R for the application of real data. Based on the results obtained from this study, the maximum likelihood approach used in estimating the parameters is the comparison between these distributions.https://dergipark.org.tr/tr/download/article-file/2513063exponential weibull distributionmaximum likelihoodparametersweibull distributionweibull-rayleigh distribution |
| spellingShingle | Sejhan Idrizi Mirlinda Shaqiri Lazim Kamberi Senad Orhani Comparison of Three-Parameter Weibull Distribution Parameter Estimators with the Maximum Likelihood Method Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi exponential weibull distribution maximum likelihood parameters weibull distribution weibull-rayleigh distribution |
| title | Comparison of Three-Parameter Weibull Distribution Parameter Estimators with the Maximum Likelihood Method |
| title_full | Comparison of Three-Parameter Weibull Distribution Parameter Estimators with the Maximum Likelihood Method |
| title_fullStr | Comparison of Three-Parameter Weibull Distribution Parameter Estimators with the Maximum Likelihood Method |
| title_full_unstemmed | Comparison of Three-Parameter Weibull Distribution Parameter Estimators with the Maximum Likelihood Method |
| title_short | Comparison of Three-Parameter Weibull Distribution Parameter Estimators with the Maximum Likelihood Method |
| title_sort | comparison of three parameter weibull distribution parameter estimators with the maximum likelihood method |
| topic | exponential weibull distribution maximum likelihood parameters weibull distribution weibull-rayleigh distribution |
| url | https://dergipark.org.tr/tr/download/article-file/2513063 |
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